TSTP Solution File: NUM844+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM844+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 14:37:50 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 51 ( 26 unt; 0 def)
% Number of atoms : 96 ( 34 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 82 ( 37 ~; 27 |; 8 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f268,plain,
$false,
inference(avatar_sat_refutation,[],[f243,f247,f251,f255,f259,f264,f267]) ).
fof(f267,plain,
spl4_6,
inference(avatar_contradiction_clause,[],[f266]) ).
fof(f266,plain,
( $false
| spl4_6 ),
inference(trivial_inequality_removal,[],[f265]) ).
fof(f265,plain,
( vplus(vmul(vd411,vd413),vplus(vd413,vplus(v1,vd411))) != vplus(vmul(vd411,vd413),vplus(vd413,vplus(v1,vd411)))
| spl4_6 ),
inference(forward_demodulation,[],[f263,f162]) ).
fof(f162,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X66,X67] : vplus(X67,X66) = vplus(X66,X67),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f263,plain,
( vplus(vmul(vd411,vd413),vplus(vd413,vplus(v1,vd411))) != vplus(vmul(vd411,vd413),vplus(vplus(v1,vd411),vd413))
| spl4_6 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl4_6
<=> vplus(vmul(vd411,vd413),vplus(vd413,vplus(v1,vd411))) = vplus(vmul(vd411,vd413),vplus(vplus(v1,vd411),vd413)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f264,plain,
~ spl4_6,
inference(avatar_split_clause,[],[f210,f261]) ).
fof(f210,plain,
vplus(vmul(vd411,vd413),vplus(vd413,vplus(v1,vd411))) != vplus(vmul(vd411,vd413),vplus(vplus(v1,vd411),vd413)),
inference(definition_unfolding,[],[f146,f158,f158]) ).
fof(f158,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X70] : vplus(v1,X70) = vsucc(X70),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f146,plain,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) = vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(266, 415, 3)') ).
fof(f259,plain,
spl4_5,
inference(avatar_split_clause,[],[f233,f257]) ).
fof(f257,plain,
( spl4_5
<=> ! [X1] : geq(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f233,plain,
! [X1] : geq(X1,X1),
inference(equality_resolution,[],[f190]) ).
fof(f190,plain,
! [X0,X1] :
( geq(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ( geq(X1,X0)
| ( X0 != X1
& ~ greater(X1,X0) ) )
& ( X0 = X1
| greater(X1,X0)
| ~ geq(X1,X0) ) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( ( geq(X1,X0)
| ( X0 != X1
& ~ greater(X1,X0) ) )
& ( X0 = X1
| greater(X1,X0)
| ~ geq(X1,X0) ) ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( geq(X1,X0)
<=> ( X0 = X1
| greater(X1,X0) ) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X43,X44] :
( geq(X44,X43)
<=> ( X43 = X44
| greater(X44,X43) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof(f255,plain,
spl4_4,
inference(avatar_split_clause,[],[f232,f253]) ).
fof(f253,plain,
( spl4_4
<=> ! [X1] : leq(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f232,plain,
! [X1] : leq(X1,X1),
inference(equality_resolution,[],[f187]) ).
fof(f187,plain,
! [X0,X1] :
( leq(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( ( leq(X1,X0)
| ( X0 != X1
& ~ less(X1,X0) ) )
& ( X0 = X1
| less(X1,X0)
| ~ leq(X1,X0) ) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ( leq(X1,X0)
| ( X0 != X1
& ~ less(X1,X0) ) )
& ( X0 = X1
| less(X1,X0)
| ~ leq(X1,X0) ) ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( leq(X1,X0)
<=> ( X0 = X1
| less(X1,X0) ) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X41,X42] :
( leq(X42,X41)
<=> ( X41 = X42
| less(X42,X41) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).
fof(f251,plain,
spl4_3,
inference(avatar_split_clause,[],[f228,f249]) ).
fof(f249,plain,
( spl4_3
<=> ! [X1] : ~ greater(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f228,plain,
! [X1] : ~ greater(X1,X1),
inference(equality_resolution,[],[f169]) ).
fof(f169,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X49,X50] :
( ~ greater(X49,X50)
| X49 != X50 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof(f247,plain,
spl4_2,
inference(avatar_split_clause,[],[f227,f245]) ).
fof(f245,plain,
( spl4_2
<=> ! [X1] : ~ less(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f227,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f168]) ).
fof(f168,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X49,X50] :
( ~ less(X49,X50)
| X49 != X50 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof(f243,plain,
spl4_1,
inference(avatar_split_clause,[],[f154,f241]) ).
fof(f241,plain,
( spl4_1
<=> ! [X0] : geq(X0,v1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f154,plain,
! [X0] : geq(X0,v1),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] : geq(X0,v1),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X7] : geq(X7,v1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(228, 0), 0)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM844+1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Apr 29 23:37:43 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (8052)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (8055)WARNING: value z3 for option sas not known
% 0.14/0.38 % (8056)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (8054)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (8057)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (8055)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (8058)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (8059)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (8053)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (8057)First to succeed.
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 % (8057)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (8057)------------------------------
% 0.14/0.39 % (8057)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (8057)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (8057)Memory used [KB]: 883
% 0.14/0.39 % (8057)Time elapsed: 0.006 s
% 0.14/0.39 % (8057)Instructions burned: 7 (million)
% 0.14/0.39 % (8057)------------------------------
% 0.14/0.39 % (8057)------------------------------
% 0.14/0.39 % (8052)Success in time 0.024 s
%------------------------------------------------------------------------------